TANGENT-CONES AND DINI DERIVATIVES

被引:4
|
作者
PAPPALARDO, M
机构
[1] Department of Mathematics, University of Pisa, Pisa
关键词
TANGENT CONES; DINI DERIVATIVES; DINI SEQUENCES; LIPSCHITZ FUNCTIONS;
D O I
10.1007/BF00940506
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We prove a property of the Bouligand tangent cone to the epigraph (or to the graph) of a locally Lipschitz function. It is also shown how this result can be used in determining Dini sequences. Finally, some relationships between such a cone and Dini derivatives are provided.
引用
收藏
页码:97 / 107
页数:11
相关论文
共 50 条
  • [31] On the tangent cones to plurisubharmonic currents
    Dabbek, Khalifa
    Ghiloufi, Noureddine
    Hbil, Jawhar
    BULLETIN DES SCIENCES MATHEMATIQUES, 2016, 140 (05): : 562 - 574
  • [32] ON TANGENT CONES IN WASSERSTEIN SPACE
    Lott, John
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (07) : 3127 - 3136
  • [33] On Tangent Cones of Schubert Varieties
    Fuchs D.
    Kirillov A.
    Morier-Genoud S.
    Ovsienko V.
    Arnold Mathematical Journal, 2017, 3 (4) : 451 - 482
  • [34] ON UNIFORM DINI DERIVATIVES
    MANNA, NC
    COLLOQUIUM MATHEMATICUM, 1970, 21 (01) : 95 - &
  • [35] TANGENT GROUPOID AND TANGENT CONES IN SUB-RIEMANNIAN GEOMETRY
    Mohsen, Omar
    DUKE MATHEMATICAL JOURNAL, 2024, 173 (16) : 3179 - 3218
  • [36] Tangent cones to tensor train varieties
    Kutschan, Benjamin
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 544 : 370 - 390
  • [37] Tangent and Normal Cones to Real Surfaces
    Donal O’SHEA(Mathematics Department
    )Les WILSON (Mathematics Department
    )
    数学季刊, 1995, (04) : 62 - 71
  • [38] SOME PROPERTIES OF REAL TANGENT CONES
    KENDIG, KM
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (07): : A819 - A819
  • [39] Tangent cones and regularity of real hypersurfaces
    Ghomi, Mohammad
    Howard, Ralph
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2014, 697 : 221 - 247
  • [40] Subspace Clustering via Tangent Cones
    Jalali, Amin
    Willett, Rebecca
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 30 (NIPS 2017), 2017, 30